I recently read "The Curious Incident of the Dog in the Night-time" by Mark Haddon. I rather enjoyed this interesting novel (a sort of detective story written from the POV of someone with Asperger's Syndrome, which is a form of mild autism).
In the book the "hero" propounds the Monty Hall Problem, most adequately explained here
http://www.faisal.com/docs/monty.html (and elsewhere all over Usenet and the Internet).
The problem is that I don't believe the logical argument. I have been to dozens of sites, learned and stupid, some even pornographical, but I simply don't buy the statistical theory.
The problem I have with it is this. Once one of the doors has been eliminated, the choice is functionally identical to the choice one would have faced were there only two doors and one prize to start with. I simply don't accept that removing one of the dummy doors is anything other than a red herring.
The logical proof reminds me Zeno's Paradox wherein Achilles couldn't overtake a tortoise.
You may very well ask why I am posting this here. Well, the mathematicians can't convince me, but their primary language is Boolean, whereas mine is English. I am hoping that someone here more polyglottal than I can translate successfully.
Edward
The reading group's reading group:
http://www.bookgroup.org.uk